Straight Line Question 144

Question: If $ u=a_1x+b_1y=c_1=0 $ , $ v=a_2x+b_2y+c_2=0 $ and $ a_1/a_2=b_1/b_2=c_1/c_2 $ , then the curve $ u+kv=0 $ is

Options:

A) the same straight line u

B) different straight line

C) not a straight line

D) none of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] Since $ a_1/a_2=b_1/b_2=c_1/{c _{2,}} $ u=0 and v=0 are the same straight lines. Hence u+kv=0 is also the same straight line.